Same paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.a. Sketch the path followed by both A and B.b. Find the velocity and acceleration of A and B and discuss the differences.c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences. A: r(t) = ⟨cos t, sin t⟩ , B: r(t) = ⟨cos 3t, sin 3t⟩
Same paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.a. Sketch the path followed by both A and B.b. Find the velocity and acceleration of A and B and discuss the differences.c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences. A: r(t) = ⟨cos t, sin t⟩ , B: r(t) = ⟨cos 3t, sin 3t⟩
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Same paths, different velocity The position functions of objects A and B describe different motion along the same path for t ≥ 0.
a. Sketch the path followed by both A and B.
b. Find the velocity and acceleration of A and B and discuss the differences.
c. Express the acceleration of A and B in terms of the tangential and normal components and discuss the differences.
A: r(t) = ⟨cos t, sin t⟩ , B: r(t) = ⟨cos 3t, sin 3t⟩
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